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We present a class of iterative fully distributed fixed point methods to solve a system of linear equations, such that each agent in the network holds one of the equations of the system. Under a generic directed, strongly connected network,…

Numerical Analysis · Mathematics 2020-01-16 Dusan Jakovetic , Natasa Krejic , Natasa Krklec Jerinkic , Greta Malaspina , Alessandra Micheletti

We propose a novel algorithm for solving convex, constrained and distributed optimization problems defined on multi-agent-networks, where each agent has exclusive access to a part of the global objective function. The agents are able to…

Systems and Control · Electrical Eng. & Systems 2020-08-12 Jan Zimmermann , Tatiana Tatarenko , Volker Willert , Jürgen Adamy

The paper is devoted to the approximate consensus problem for networks of nonlinear agents with switching topology, noisy and delayed measurements. In contrast to the existing stochastic approximation-based control algorithms (protocols), a…

Systems and Control · Computer Science 2013-06-17 Natalia Amelina , Alexander Fradkov , Yuming Jiang , Dimitrios J. Vergados

In this preliminary paper we study the stability property of a consensus on the average algorithm in arbitrary directed graphs with respect to communication/sensing time-delays. The proposed algorithm adds a storage variable to the agents'…

Optimization and Control · Mathematics 2015-02-17 Mehran Zareh , Carla Seatzu , Mauro Franceschelli

The paper studies the problem of distributed average consensus in sensor networks with quantized data and random link failures. To achieve consensus, dither (small noise) is added to the sensor states before quantization. When the quantizer…

Multiagent Systems · Computer Science 2009-09-28 Soummya Kar , Jose M. F. Moura

Consider a simple locally finite hypergraph on a countable vertex set, where each edge represents one unit of load which should be distributed among the vertices defining the edge. An allocation of load is called balanced if load cannot be…

Probability · Mathematics 2020-06-23 Payam Delgosha , Venkat Anantharam

In this paper, we discuss a class of distributed detection algorithms which can be viewed as implementations of Bayes' law in distributed settings. Some of the algorithms are proposed in the literature most recently, and others are first…

Methodology · Statistics 2015-11-10 Qipeng Liu , Jiuhua Zhao , Xiaofan Wang

In this paper, a distributed stochastic approximation algorithm is studied. Applications of such algorithms include decentralized estimation, optimization, control or computing. The algorithm consists in two steps: a local step, where each…

Optimization and Control · Mathematics 2013-12-03 Pascal Bianchi , Gersende Fort , Walid Hachem

Signed networks, characterized by edges labeled as either positive or negative, offer nuanced insights into interaction dynamics beyond the capabilities of unsigned graphs. Central to this is the task of identifying the maximum balanced…

Social and Information Networks · Computer Science 2024-06-18 Jingbang Chen , Qiuyang Mang , Hangrui Zhou , Richard Peng , Yu Gao , Chenhao Ma

A consensus system is a linear multi-agent system in which agents communicate to reach a so-called consensus state, defined as the average of the initial states of the agents. Consider a more generalized situation in which each agent is…

Systems and Control · Computer Science 2015-06-01 Xudong Chen , M. -A. Belabbas , Tamer Basar

This paper presents a distributed optimization scheme over a network of agents in the presence of cost uncertainties and over switching communication topologies. Inspired by recent advances in distributed convex optimization, we propose a…

Optimization and Control · Mathematics 2016-11-15 Saghar Hosseini , Airlie Chapman , Mehran Mesbahi

This paper investigates the distributed continuous-time nonconvex optimization problem over unbalanced directed networks. The objective is to cooperatively drive all the agent states to an optimal solution that minimizes the sum of the…

Optimization and Control · Mathematics 2022-12-01 Jin Zhang , Yahui Hao , Lu Liu , Haibo Ji

The problem of minimizing a sum of local convex objective functions over a networked system captures many important applications and has received much attention in the distributed optimization field. Most of existing work focuses on…

Optimization and Control · Mathematics 2019-01-09 Fatemeh Mansoori , Ermin Wei

Part I of this work [2] developed the exact diffusion algorithm to remove the bias that is characteristic of distributed solutions for deterministic optimization problems. The algorithm was shown to be applicable to a larger set of…

Optimization and Control · Mathematics 2017-12-27 Kun Yuan , Bicheng Ying , Xiaochuan Zhao , Ali H. Sayed

In this paper, we develop a distributed algorithm for solving a class of distributed convex optimization problems where the local objective functions can be a general nonsmooth function, and all equalities and inequalities are network-wide…

Optimization and Control · Mathematics 2026-04-14 Yeong-Ung Kim , Hyo-Sung Ahn

In this paper, we study network linear equations subject to digital communications with a finite data rate, where each node is associated with one equation from a system of linear equations. Each node holds a dynamic state and interacts…

Optimization and Control · Mathematics 2018-08-10 Jinlong Lei , Peng Yi , Guodong Shi , Brian D. O. Anderson

We consider decentralized optimization problems where one aims to minimize a sum of convex smooth objective functions distributed between nodes in the network. The links in the network can change from time to time. For the setting when the…

Optimization and Control · Mathematics 2023-01-30 Dmitriy Metelev , Alexander Rogozin , Dmitry Kovalev , Alexander Gasnikov

A distributed adaptive algorithm to estimate a time-varying signal, measured by a wireless sensor network, is designed and analyzed. One of the major features of the algorithm is that no central coordination among the nodes needs to be…

Distributed, Parallel, and Cluster Computing · Computer Science 2008-10-22 Carlo Fischione , Alberto Speranzon , Karl H. Johansson , Alberto Sangiovanni-Vincentelli

Results for estimating the convergence rate of non-stationary distributed consensus algorithms are provided, on the basis of qualitative (mainly topological) as well as basic quantitative information (lower-bounds on the matrix entries).…

Optimization and Control · Mathematics 2007-12-22 David Angeli , Pierre-Alexandre Bliman

Suppose you are given a graph $G=(V,E)$ with a weight assignment $w:V\rightarrow\mathbb{Z}$ and that your objective is to modify $w$ using legal steps such that all vertices will have the same weight, where in each legal step you are…

Discrete Mathematics · Computer Science 2015-07-03 Friedrich Eisenbrand , Shay Moran , Rom Pinchasi , Martin Skutella